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Finding the Fourth Proportional to 22,272, 33,405.72 and 10,577.76

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Solution

The fourth proportional to 22,272, 33,405.72 and 10,577.76 is: 15,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,272 : 33,405.72 = 10,577.76 : x
  2. Step 2: Convert to fraction form
    22,272/33,405.72 = 10,577.76/x
  3. Step 3: Cross multiply
    22,272x = 33,405.72 × 10,577.76
  4. Step 4: Simplify right side
    22,272x = 353,357,688.79
  5. Step 5: Solve for x
    x = 353,357,688.79/22,272
  6. Step 6: Final answer
    x = 15,865.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.